Given numbers are 690,214,278,173,763

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 690,214,278,173,763 is 1354622577630.

Find LCM of 690,214,278,173,763 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 345 x 107 x 139 x 173 x 763 = 1354622577630

Therefore, the lowest common multiple of 690,214,278,173,763 is 1354622577630.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

690 x 214 x 278 x 173 x 763 = 5418490310520

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

214 : 1, 2, 107, 214

278 : 1, 2, 139, 278

173 : 1, 173

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,214,278,173,763, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

214:2x 107

278:2x 139

173:173

763:7x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5418490310520/(1x4)

LCM = 5418490310520/4

LCM = 1354622577630

Thus, we can understand that the LCM of 690,214,278,173,763 is 1354622577630.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 202, 603, 939, 718, 869
• LCM of 561, 714, 391, 363, 701
• LCM of 144, 915, 819, 278, 591
• LCM of 270, 739, 141, 789, 939
• LCM of 533, 321, 652, 852, 163

1. What is the LCM of 690, 214, 278, 173, 763?

Answer: LCM of 690, 214, 278, 173, 763 is 1354622577630.

2. How to calculate the LCM of 690, 214, 278, 173, 763?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 690, 214, 278, 173, 763.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.